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Chemically driven convection in a porous medium
Author(s) -
Viljoen H.,
Hlavacek V.
Publication year - 1987
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690330811
Subject(s) - exothermic reaction , nonlinear system , galerkin method , ordinary differential equation , bifurcation , convection , continuation , porous medium , partial differential equation , mathematics , stability (learning theory) , mathematical analysis , mechanics , thermodynamics , differential equation , chemistry , physics , porosity , computer science , organic chemistry , quantum mechanics , machine learning , programming language
This paper is focused on the analysis of interaction of free convection and exothermic chemical reaction. As a consequence of the chemical reaction, free convection effects can result. It is difficult to perform an analytical bifurcation analysis of the full nonlinear governing equations; however, Fourier expansion combined with a Galerkin approximation results in a small set of ordinary nonlinear differential equations (initial‐value problem) that are amenable to analysis. Conditions for branching of the solution can be determined in an analytical way. A continuation algorithm makes it possible to calculate the branches of stability. The results of the approximative analysis are supported by the numerical integration of the full governing nonlinear equations.